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Finding the Fourth Proportional to 646,580.39, 892,281 and 360,100.49

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Solution

The fourth proportional to 646,580.39, 892,281 and 360,100.49 is: 496,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,580.39 : 892,281 = 360,100.49 : x
  2. Step 2: Convert to fraction form
    646,580.39/892,281 = 360,100.49/x
  3. Step 3: Cross multiply
    646,580.39x = 892,281 × 360,100.49
  4. Step 4: Simplify right side
    646,580.39x = 321,310,825,317.69
  5. Step 5: Solve for x
    x = 321,310,825,317.69/646,580.39
  6. Step 6: Final answer
    x = 496,938.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.